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2020-07-05 18:00:07 -0600 commented answer How do I solve cos(2*t)==sin(t)

How can I add an interval, to arrive at one answer here. My answer should be between 0, pi/2

2020-07-05 17:59:35 -0600 commented answer How do I solve cos(2*t)==sin(t)

How can I add an interval, to arrive at one answer here. My answer should be between 0, pi/2

2020-07-05 13:23:10 -0600 received badge  Editor (source)
2020-07-05 13:22:18 -0600 asked a question How do I solve cos(2*t)==sin(t)

I tried solving

solve(cos(2*t)==sin(t),t)

I got

[cos(2*t) == sin(t)]

But this shouldn't be the value. I know from the graphs that the value is numeric.

I have also noticed that sagemath is not good for solving trig identities. Is this true?

2020-07-04 20:32:28 -0600 asked a question why doesn't sage solve ln

I have a simple equation to solve

solve(ln(x) -2 > 0,x)

The actual value should be $x > e^2$

but sagemath gives

[[log(x) - 2 > 0]]

How do I get actual value?

2020-07-04 16:46:29 -0600 received badge  Student (source)
2020-07-04 12:49:23 -0600 asked a question why sagemath returns 2 solution instead of one

when I run the expression

solve([x>=3, x >=5, x < 8],x)

It returns

[[5 < x, x < 8], [x == 5]]

But I'm hoping that it would return

[[5 <= x, x < 8]]

How do I get my expected value?

2020-07-04 12:34:36 -0600 asked a question how do I test if a function is continuous

Is there a way to test programmatically if a function is continuous?

e.g $f(x) = \frac{1}{x} $

I'm looking for a function is_continuous(f) = False

2020-07-04 07:59:49 -0600 received badge  Scholar (source)
2020-06-27 19:19:32 -0600 asked a question How do I differentiate an implicit function in sagemath?

I'm trying to differentiate an implicit expression

$x e^{y} = x -y$

This is my sagemath code

x = var('x')
f(x,y)= x*e**y - x + y
show(diff(f))

Sagemath Answer is $\left( x, y \right) \ {\mapsto} \ \left(e^{y} - 1,\,x e^{y} + 1\right)$

But the actual answer is $\frac{1 - e^{y}}{x e^{y} + 1}$

How do I get the actual answer using sagemath?

2020-06-27 19:19:31 -0600 asked a question how do I differentiate an implicit equation

I'm trying to differentiate an implicit expression

$x e^{y} = x -y$

This is my sagemath code

x = var('x')
f(x,y)= x*e**y - x + y
show(diff(f))

Sagemath Answer is $\left( x, y \right) \ {\mapsto} \ \left(e^{y} - 1,\,x e^{y} + 1\right)$

But the actual answer is $\frac{1 - e^{y}}{x e^{y} + 1}$

How do I get the actual answer using sagemath?